Pattern formation and mass transfer under stationary solutal Marangoni instability

Schwarzenberger, Karin; Köllner, Thomas; Linde, H.; Boeck, Thomas; Odenbach, Stefan; Eckert, Kerstin

doi:10.1016/j.cis.2013.10.003

Cited by 59 publications

(56 citation statements)

References 120 publications

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“…the overview given in [12]. The combination of experimental flow visualization and numerical analysis has recently improved understanding of the mechanisms underlying the evolution of patterns in Marangoni convection [13][14][15].…”

Section: Introductionmentioning

confidence: 99%

Relaxation oscillations of solutal Marangoni convection at curved interfaces

Schwarzenberger

Aland

Domnick

et al. 2015

Colloids and Surfaces A: Physicochemical and Engineering Aspect

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Section: Introductionmentioning

confidence: 99%

Relaxation oscillations of solutal Marangoni convection at curved interfaces

Schwarzenberger

Aland

Domnick

et al. 2015

Colloids and Surfaces A: Physicochemical and Engineering Aspect

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“…The inset of Fig. 2a shows a top view of a schlieren pattern, that is, an interfacial turbulence structure representing the mass transfer between the phases 11,12 . Due to the Marangoni-driven mixing, the spreading coefficient S (Fig.…”

mentioning

confidence: 99%

“…, surface tensions (γ [12,13] ), droplet volume (V ), and the diffusion coefficient (D) between two miscible liquids, where the subscripts 'b' and 'd' indicate the bath and drop liquid, respectively. To understand the transport mechanism, we identified the dominant physical mechanisms and performed a scaling analysis to predict finite R and U as well as the time to establish the quasisteady state.…”

mentioning

confidence: 99%

Solutal Marangoni flows of miscible liquids drive transport without surface contamination

et al. 2017

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Mixing and spreading of di erent liquids are omnipresent in nature, life and technology, such as oil pollution on the sea 1,2 , estuaries 3 , food processing 4 , cosmetic and beverage industries 5,6 , lab-on-a-chip devices 7 , and polymer processing 8 . However, the mixing and spreading mechanisms for miscible liquids remain poorly characterized. Here, we show that a fully soluble liquid drop deposited on a liquid surface remains as a static lens without immediately spreading and mixing, and simultaneously a Marangoni-driven convective flow is generated, which are counterintuitive results when two liquids have di erent surface tensions. To understand the dynamics, we develop a theoretical model to predict the finite spreading time and length scales, the Marangoni-driven convection flow speed, and the finite timescale to establish the quasi-steady state for the Marangoni flow. The fundamental understanding of this solutal Marangoni flow may enable driving bulk flows and constructing an e ective drug delivery and surface cleaning approach without causing surface contamination by immiscible chemical species.When a sessile oil drop is released on top of a water surface, it spreads until a monolayer is achieved 9 , because the liquids are immiscible, as shown in Fig. 1a. In contrast, if a water drop is placed on a water surface, it shows a cascade of coalescence events and the liquids are rapidly mixed (Fig. 1b) 10 . In contrast with these two configurations, we captured unexpected mixing and spreading features between fully miscible liquids. When a drop of alcoholfor example, isopropanol (IPA)-is placed on a water surface, it spontaneously generates a Marangoni convective flow along the outward radial direction and we observed that there is a static liquid lens in the middle ( Fig. 1c and Supplementary Fig. 1), even though these two liquids are infinitely miscible. Here, we discuss solutal Marangoni effects in fully miscible liquids to explain the finite size lens and the associated flow (more details are provided in Supplementary Videos 1-3).To visualize the spreading and mixing pattern of a miscible liquid drop, IPA (volume V = 7.2 ± 0.2 µl), placed on a water bath (400 ml deionized (DI) water in an 196-mm-diameter Petri dish with depth H = 14 mm), we used time-resolved particle tracking velocimetry (PTV) and high-speed schlieren measurement techniques (Supplementary Information). For PTV experiments, we seeded polystyrene particles (diameter = 100 µm) in solution and recorded the particle motion from top and side views. IPA is less dense than water and therefore the sessile drop floats on the surface. The drop initially spreads out and quickly achieves a static central lens with a near constant diameter 2R (see Fig. 1c and Supplementary Figs 5-7) during which the IPA continuously leaks at the boundary (Fig. 1c, Supplementary Fig. 1 and Supplementary Videos 3 and 4). The inset of Fig. 2a shows a top view of a schlieren pattern, that is, an interfacial turbulence structure representing the mass transfer between the...

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“…It propagates in the azimuthal direction, which is the same as the hydrothermal wave. Schwarzenberger et al (2014) and Köllner et al (2013) studied the flow pattern formation in stationary solutal Marangoni convection and the characteristics of interfacial mass transfer in the liquid-liquid system. They reported several complex hierarchical cellular structures and the transition processes.…”

Section: Introductionmentioning

confidence: 99%

Three-Dimensional Numerical Simulation of Pure Solutocapillary Flow in a Shallow Annular Pool for Mixture Fluid with High Schmidt Number

Chen

Zhang

et al. 2015

Microgravity Sci. Technol.

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In order to understand the characteristics of pure solutocapillary flow in a shallow annular pool subjected to a constant radial solutal gradient, a series of threedimensional numerical simulations were performed. The annular pool was filled with the toluene/n-hexane mixture fluid with the Schmidt number of 142.8. The inner and outer cylinders were respectively maintained at low and high solutal concentrations. Aspect ratio of the annular pool is fixed at ε = 0.15 or 0.05. Results indicate that the solutocapillary flow is steady and axisymmetric at a small solutal capillary Reynolds number. The surface fluid flows radially from the inner cylinder toward the outer cylinder and a return flow exists near the bottom. With the increase of the solutal capillary Reynolds number, an axisymmetric oscillatory flow firstly appears and then becomes a three-dimensional oscillatory flow at ε = 0.15. Whereas at ε = 0.05, a direct transition from the steady and axisymmetric flow to the three-dimensional oscillatory flow is observed. Three types of the flow instabilities are the standing wave, hydrosolutal wave and source/sink type wave instabilities. Furthermore, the physical mechanism of the flow destabilization is analyzed. NomenclatureC mass fraction of solutal d depth, m D mass diffusivity of species, m 2 /s F dimensionless frequency m wave number P dimensionless pressure r radius, m R dimensionless radius Re solutocapillary Reynolds number Sc Schmidt number, Sc = ν/D T temperature, • C v velocity, m/s V dimensionless velocity vector z axial coordinate, m Z dimensionless axial coordinate Greek symbols ε aspect ratio, d/(r ocoefficient of surface tension, N/m η radius ratio, r i /r o μ dynamic viscosity, kg/(m·s) ν kinematic viscosity, m 2 /s θ azimuthal coordinate, rad ρ density, kg/m 3 σ surface tension, N/m τ dimensionless time ψ dimensionless stream function Subscripts 0 Initial c Critical i inner wall o outer wall 50 Microgravity Sci. Technol. (2016) 28:49-57 p P e r i o d R, Z, θ coordinate directions

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Pattern formation and mass transfer under stationary solutal Marangoni instability

Cited by 59 publications

References 120 publications

Relaxation oscillations of solutal Marangoni convection at curved interfaces

Relaxation oscillations of solutal Marangoni convection at curved interfaces

Solutal Marangoni flows of miscible liquids drive transport without surface contamination

Three-Dimensional Numerical Simulation of Pure Solutocapillary Flow in a Shallow Annular Pool for Mixture Fluid with High Schmidt Number

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